Question

1. gabriel wants to buy a new vehicle. he is comparing average epa ratings on 4 - door sedans, compact cars, pickup trucks, and small suvs, as shown in the table below. gasoline cost is a factor in gabriel’s decision, so calculate the amount of money gabriel would spend each week on gas for each type of vehicle. in gabriel’s town, the cost of gas is $3.29 per gallon, and he drives a total of 250 miles each week to and from work. then, match the type of vehicle to the weekly gas cost.

4 - door sedan	compact car	pickup truck	small suv

1. 4 - door sedan a. $41.13 per week
2. small suv b. $37.37 per week
3. pickup truck c. $25.69 per week
4. compact d. $31.65 per week

Explanation:

Step1: Recall the formula for gas cost

The formula to calculate the weekly gas cost is: \(\text{Cost} = \frac{\text{Total Miles Driven}}{\text{EPA Rating (mpg)}} \times \text{Cost per Gallon}\)

Step2: Calculate for 4 - door Sedan

Total miles driven per week \(= 250\) miles, EPA rating \(= 26\) mpg, cost per gallon \(= \$3.29\)
First, find the gallons used: \(\frac{250}{26}\approx9.615\) gallons
Then, cost \(= 9.615\times3.29\approx31.65\) dollars. So 4 - door Sedan matches with d.

Step3: Calculate for Small SUV

EPA rating \(= 22\) mpg
Gallons used: \(\frac{250}{22}\approx11.364\) gallons
Cost \(= 11.364\times3.29\approx37.37\) dollars. So Small SUV matches with b.

Step4: Calculate for Pickup Truck

EPA rating \(= 20\) mpg
Gallons used: \(\frac{250}{20} = 12.5\) gallons
Cost \(= 12.5\times3.29 = 41.125\approx41.13\) dollars. So Pickup Truck matches with a.

Step5: Calculate for Compact Car

EPA rating \(= 32\) mpg
Gallons used: \(\frac{250}{32}\approx7.8125\) gallons
Cost \(= 7.8125\times3.29\approx25.60\) dollars. So Compact Car matches with c.

Answer:

1. 4 - door Sedan: d. \$31.65 per week
2. Small SUV: b. \$37.37 per week
3. Pickup Truck: a. \$41.13 per week
4. Compact: c. \$25.69 per week